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<p>My bus fare is 44p. If the driver can give me change, what is the smallest number of coins that must change hands when I pay this fare?</p>
<p>If you liked this problem, <a href="http://nrich.maths.org/public/viewer.php?obj_id=223">here is an NRICH task</a> which challenges you to use similar mathematical ideas. </p>
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<mdoxml version="1.0"><p>3<br></br>
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If I pay the exact fare, the smallest number of coins I could use is 4 (2 x 20p and 2 x 2p). If I receive change, then it is not possible for only 2 coins to change hands since this would involve my giving the driver one coin (50p, £1 or £2) and receiving only one coin in change, but the necessary coin does not exist. However, if I give the driver a 50p coin and receive a 5p coin and a 1p coin in
change, then only 3 coins change hands.</p></mdoxml>
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Weekly Problem 38 - 2006
Weekly problem 38 - 2006
Measures and Mensuration
Money
Using, Applying and Reasoning about Mathematics
Real world
Admin
Short problems